22 citations · 102 across the 17 of their papers we have counts for
17 papers
On the combinatorics of the refined 1-leg DT/PT correspondence
Davide Accadia, Danilo Lewański, Sergej Monavari
We provide a new proof of a result of Bessenrodt on the relation among the generating series of reversed plane partitions and skew plane partitions, motivated by the geometric DT/P…
Motivic and cohomological stabilisation of the Quot scheme of points
Michele Graffeo, Alexis Aumonier, Sergej Monavari +2
We prove that the motive of the punctual Quot scheme stabilises, when , to $[\mathrm{Gr}(d-1,\infty)]\cdot \s…
The refined local Donaldson-Thomas theory of curves
Sergej Monavari
We solve the K-theoretically refined Donaldson-Thomas theory of local curves in arbitrary genus and degree. Our results avoid degeneration techniques, but rather exploit direct loc…
Gauge origami on broken lines
Sergej Monavari
In analogy to Nekrasov's theory of gauge origami on intersecting branes, we introduce the gauge origami moduli space on broken lines. We realize this moduli space as a Quot scheme…
Enumeration of partitions via socle reduction
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We study the enumeration problem of higher dimensional partitions, a natural generalisation of classical integer partitions. We show that their counting problem is equivalent to th…
Derived hyperquot schemes
Sergej Monavari, Emanuele Pavia, Andrea T. Ricolfi
We define a derived enhancement of the hyperquot scheme (also known as nested Quot scheme), which classically parametrises flags of quotients of a perfect coherent sheaf on a proje…
The motive of the Hilbert scheme of points in all dimensions
Michele Graffeo, Sergej Monavari, Riccardo Moschetti +1
We prove a closed formula for the generating function of the motives of punctual Hilbert schem…
Hyperquot schemes on curves: virtual class and motivic invariants
Sergej Monavari, Andrea T. Ricolfi
Let be a smooth projective curve, a locally free sheaf. Hyperquot schemes on parametrise flags of coherent quotients of with fixed Hilbert polynomial, and offer alt…
The geometry of double nested Hilbert schemes of points on curves
Michele Graffeo, Paolo Lella, Sergej Monavari +2
Let be a smooth curve. In this paper we investigate the geometric properties of the double nested Hilbert scheme of points on , a moduli space introduced by the third author…
Tetrahedron instantons in Donaldson-Thomas theory
Nadir Fasola, Sergej Monavari
Inspired by the work of Pomoni-Yan-Zhang in String Theory, we introduce the moduli space of tetrahedron instantons as a Quot scheme and describe it as a moduli space of quiver repr…
A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds
Yalong Cao, Martijn Kool, Sergej Monavari
Let be a finite subgroup of whose elements have age not larger than one. In the first part of this paper, we define -theoretic stable pair invariants on the…
Canonical vertex formalism in DT theory of toric Calabi-Yau 4-folds
Sergej Monavari
Motivated by previous computations of Y. Cao, M. Kool and the author, we propose square roots and sign rules for the vertex and edge terms that compute Donaldson-Thomas invariants…
Double nested Hilbert schemes and the local stable pairs theory of curves
Sergej Monavari
We propose a variation of the classical Hilbert scheme of points - the double nested Hilbert scheme of points - which parametrizes flags of zero-dimensional subschemes whose nestin…
Sur la lissité du schéma Quot ponctuel emboîté
Sergej Monavari, Andrea T. Ricolfi
In this paper we characterise the smoothness of the nested Quot scheme of points of a smooth variety, namely the moduli space parametrising flags of -dimensional quotients of a…
On the motive of the nested Quot scheme of points on a curve
Sergej Monavari, Andrea T. Ricolfi
Let be a smooth curve over an algebraically closed field , and let be a locally free sheaf of rank . We compute, for every , the generating function of…
Stable pair invariants of local Calabi-Yau 4-folds
Yalong Cao, Martijn Kool, Sergej Monavari
In 2008, Klemm-Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-fold using Gromov-Witten theory. Recently, Cao-Maulik-Toda proposed a conjectural descript…
Higher rank K-theoretic Donaldson-Thomas theory of points
Nadir Fasola, Sergej Monavari, Andrea T. Ricolfi
We exploit the critical locus structure on the Quot scheme , in particular the associated symmetric obstruction theory, in ord…